Nonstabilizerness in Stark many-body localization

• URL: http://arxiv.org/abs/2512.16859v1
• Date: Thu, 18 Dec 2025 18:31:39 GMT
• Title: Nonstabilizerness in Stark many-body localization
• Authors: Han-Ze Li, Yi-Rui Zhang, Yu-Jun Zhao, Xuyang Huang, Jian-Xin Zhong,
• Abstract summary: Quantum many-body disorder-free localization can suppress transport while still allowing the buildup of computationally costly non-Clifford resources.<n>We show that the stabilizer Rényi entropy remains nonzero and grows slowly to a finite plateau deep in the strong Stark-field regime.<n>As the Stark field strength increases, long-time magic and entanglement consistently signal a crossover from ergodic to constrained localized dynamics.
• Score: 2.011708578491462
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum many-body disorder-free localization can suppress transport while still allowing the buildup of computationally costly non-Clifford resources. In a transverse-field Ising chain realizing disorder-free Stark many-body localization, we show that the stabilizer Rényi entropy remains nonzero and grows slowly to a finite plateau deep in the strong Stark-field regime, with strong initial-state selectivity. As the Stark field strength increases, long-time magic and entanglement consistently signal a crossover from ergodic to constrained localized dynamics. These results establish nonstabilizerness (``magic'') as a practical complexity probe for disorder-free ergodicity breaking and constrained localization, with direct relevance to benchmarking and designing near-term quantum simulators, and fill a gap in the understanding of nonstabilizerness in disorder-free many-body localization.

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